MATH 626 Dynamical Systems 3.0 Credits
Dynamical systems, including topics on phase portraits, invariant sets, one-dimensional and higher-dimensional flows, the study of equilibrium and other dynamical phenomena such as periodic orbits, homoclinic orbits and heteroclinic orbits, linear and structural stabilities of equilibrium, Poincaré maps of dynamical systems, bifurcations of equilibrium and periodic orbits, the normal forms of bifurcations, the existence of invariant manifolds, the persistence and differentiability of invariant manifolds under perturbation.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 623 [Min Grade: C]